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Finding the Fourth Proportional to 1,956.29, 2,699.66 and 1,072.06

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Solution

The fourth proportional to 1,956.29, 2,699.66 and 1,072.06 is: 1,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.29 : 2,699.66 = 1,072.06 : x
  2. Step 2: Convert to fraction form
    1,956.29/2,699.66 = 1,072.06/x
  3. Step 3: Cross multiply
    1,956.29x = 2,699.66 × 1,072.06
  4. Step 4: Simplify right side
    1,956.29x = 2,894,193.43
  5. Step 5: Solve for x
    x = 2,894,193.43/1,956.29
  6. Step 6: Final answer
    x = 1,479.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.